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Table 14 The linear FVM for problem (5.3) with \(k=6\)

From: Finite volume method for solving the stochastic Helmholtz equation

h \(e_{1}\) Rate \(E (|u_{h}^{s}|_{1}^{2} )\) \(e_{2}\) Rate
1/3 0.0142   0.2369 0.2788  
1/6 0.0081 0.8099 0.3993 0.1164 1.2601
1/12 0.0027 1.5850 0.4719 0.0438 1.4101
1/24 0.0012 1.1699 0.4956 0.0201 1.1237
1/48 7.2862e−04 0.7198 0.5088 0.0068 1.5636